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Finding the Fourth Proportional to 523,848,000.30, 785,772,000.45 and 217,038,144.30

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Solution

The fourth proportional to 523,848,000.30, 785,772,000.45 and 217,038,144.30 is: 325,557,216.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,848,000.30 : 785,772,000.45 = 217,038,144.30 : x
  2. Step 2: Convert to fraction form
    523,848,000.30/785,772,000.45 = 217,038,144.30/x
  3. Step 3: Cross multiply
    523,848,000.30x = 785,772,000.45 × 217,038,144.30
  4. Step 4: Simplify right side
    523,848,000.30x = 170,542,496,820,566,784
  5. Step 5: Solve for x
    x = 170,542,496,820,566,784/523,848,000.30
  6. Step 6: Final answer
    x = 325,557,216.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.